Construction arrangement of an elevator and method

The invention relates to a construction arrangement of an elevator, comprising a hoistway in a building, the hoistway comprising a hoistway opening, the opening delimited by lower and upper edge structures; a load in the hoistway lower than said opening; a hoisting arrangement for hoisting said load, said hoisting arrangement comprising a support structure higher than said load; a hoisting device; and flexible tension member connected to said load; the flexible tension member being movable with said hoisting device to hoist the load by a hoisting force. Said support structure comprises an anchoring beam structure comprising a lower end engaging the lower edge structure, and an upper end engaging the upper edge structure; and a support beam structure connected to the anchoring beam structure, protruding from the anchoring beam structure into the hoistway; said flexible tension member hanging in the hoistway supported by the support beam structure.